Partial differential equations

Mathematical problems of hydrodynamics and hydroelasticity

Problems with interfaces and free boundaries

2012 |
D.Sc. (mathematical physics) |

1990 |
Ph.D. (mathematics) |

1986–1989 |
Graduate course at the Leningrad Branch of V.A. Steklov Mathematical Institute of the Academy of Sciences of USSR. Adviser: Prof. V.A. Solonnikov. |

1977–1982 |
Undergraduate course at the Mathematics and Mechanics Department of the Leningrad University. Adviser: Prof. N.N. Uraltzeva. |

D.Sc. thesis title: |
"Motion of two viscous immiscible fluids" |

Thesis title: |
"The motion of a drop in a viscous incompressible liquid flow." |

Diploma: |
"A problem with one-sided constraints on the separation interface of two domains." |

2014 – present |
Leader researcher, Laboratory for Math. Modelling of Wave Phenomena. Institute of Problems of Mechanical Engineering. |

1997 – 2014 |
Senior researcher, the same laboratory. |

1992 – 1996 |
Senior researcher. Hydroelasticity laboratory, the same institute. |

1990 – 1992 |
Researcher. Laboratory of measuring methods, the same institute. |

1982 – 1986 |
Engineer. Leningrad Electro-physical Apparatus Institute. |

Denisova I.V., Global Solvability of the Problem on Two-Phase Capillary Fluid Motion in the Oberbeck–Boussinesq Approximation, (2016) (accepted for publication in the series Springer Proc. Math. and Statics edited by Y. Shibata)

Denisova I.V., On energy inequality for the problem on the evolution of two fluids of different types without surface tension, J Math Fluid Mech (Springer),

**17**, Issue 1 (2015), 183–198 (DOI 10.1007/s00021-014-0197-y).Denisova I.V., Global classical solvability of an interface problem on the motion of two fluids, “RIMS Kokyuroku” series,

**1875**, Kyoto University (2014), 84-108.Denisova I.V., Global L_2-solvability of a problem governing two-phase fluid motion without surface tension, Portugal. Math.

**71**(1) (2014), 1–24 (DOI 10.4171/PM/1938).Denisova I. V., Solonnikov V. A., Global solvability of a problem governing the motion of two incompressible capillary fluids in a container.

*Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov.*,**397**(2011), 20–52 (English transl. in J. Math. Sci.**185**, no. 5 (2012), 668–686);Denisova I.V., ( Seregin G. A., Uraltseva N. N. and other), Journal article on the occasion of the Jubilee of Vsevolod Alekseevich Solonnikov,

*Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov*.**362**(2008), 5–14 (English transl. in*J. Math. Sci.*,**159**(4), (2009), 385–390);Denisova I.V., Nechasova S., Oberbeck–Boussinesq approximation for the motion of two incompressible fluids ,

*Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov.*,**362**, 2008, 92–119 (English transl. in*J. Math. Sci.*,**159**(4), (2009), 436–451);Thermo-capillary convection problem for two compressible immiscible fluids,

*Micro-gravity - Scien. Technol.*,**20**, no. 3-4 (2008), 287–291;Denisova I.V., Global solvability of a problem on two fluid motion without the surface tension,

*Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov*.**348**(2007), 19–39 (English transl. in*J. Math. Sci.*,**152**(5) (2008) 625–637);Denisova I.V., Model problem connected with the motion of two incompressible fluids, A

*dvances in Math. Sciences and Applications*,**17**(2007), no. 1, 195–223;Denisova I.V., (D.A.Indeytsev and A.V. Klimenko), Stability of a viscoelastic plate in fluid flow,

*Priklad. Meh. i Tehn. Fizika*,**47**(2006), no. 4, 66–74 (English transl. in J*. Appl. Mech. and Technic. Phys.*,**47**(2006), no. 4, 515–522);Denisova I.V., Problem of thermocapillary convection for two incompressible fluids separated by a closed interface,

*Progress in Nonlinear Differential Equations and Their Applications,***61**(2005), 45–64 (Birkhauser Verlag, Basel, Switzerland);Denisova I.V., (Indeytsev D.A., Klimenko A.V.) Stability of an infinite flexible beam under a viscous fluid flow with an exponential profile,

*Proceedings of the International seminar "Days on Diffraction'2004"*, St. Petersb. Branch of Steklov Math. Inst., (2004), 58–67;Denisova I. V., Solvability in weighted Hoelder spaces for a problem governing the evolution of two compressible fluids,

*Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov.*(POMI),**295**(2003), 57–89 (English transl. in*J. Math. Sci.*,**127**(2005), no 2);Denisova I. V., Solonnikov V. A., Classical solvability of a problem on the motion of an isolated mass of a compressible liquid,

*Algebra i Analiz***14**(2002), no. 1, 71–98 (Russian) (English transl. in*St. Petersburg Math. J.***14**(2003), no. 1, 53–74);Classical solvability of a model problem related to the motion of an isolated mass of compressible fluid.

*Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov*. (POMI)**271**(2000), 92–113 (English transl. in*J. Math. Sci*.**115**(2003), no. 6, 2753–2765);Evolution of a closed interface between two liquids of different types, Proceedings of the 3d European Congr. Math. different types, Proceedings of the 3ecm in Barcelona, July 2000, Birkhauser Verlag Basel,

*Progress in Mathematics***202**(2001), 263–272;Evolution of compressible and incompressible fluids separated by a closed interface,

*Interfaces and Free Boundaries*,**2**(3), (2000) 283–312;Problem of the motion of two compressible fluids separated by a closed free interface.

*Zap. Nauchn. Semin. Peterburg. Otdel. Mat. Inst. Steklov*. (POMI)**243**, (1997) 61–86 (in Russian) (English transl. in*J. Math. Sci*.**99**(1) (2000), 837–853);Classical solvability of the problem the two viscous incompressible fluids motion,

*Algebra Anal*.**7**(1995), no. 5 (English transl. in*St. Petersburg Math. J.***7**(5) (1996) 755–786) (with V.A. Solonnikov);Problem of the motion of two viscous incompressible fluids separated by a closed free interface,

*Acta Applicandae Mathematicae*,**37**(1994), 31–40;Hoelder spaces solvability of a model initial-boundary value problem generated by a problem on the motion of two fluids,

*Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov*. (LOMI),**188**(1991), p. 5–44. (English transl. in*Proc. Steklov Inst. Math.*,**70**(3) (1994), 1717–1746) (with V.A. Solonnikov);Solvability in Hoelder spaces of a linear problem on the motion of two fluids separated by a closed surface,

*Algebra Anal.*,**5**(1993), no. 4, p. 122–148 (English transl. in*St. Petersburg Math. J*.**5**(4) (1994));A priori estimates of the solution of a linear time-dependent problem connected with the motion of a drop in a fluid medium,

*Trudy Mat. Inst. Steklov*,**188**(1990), 3–21. (English transl. in*Proc. Steklov Inst. Math.*, 1991, no. 3, p.1–24.);Solvability of the linearized problem on a motion of a drop in a liquid flow,

*Zap. Nauchn. Semin. Leningrad. Otdel. Mat. Inst. Steklov*. (LOMI),**171**(1989), p. 53–65 (English transl. in*J. Soviet Math.*, v.**56**, 1991, n. 2, p. 2309–2316). (with V.A. Solonnikov);A problem with one-sided constraints on the separation surface of two domains,

*Vestnik Leningrad. Univers.*(LGU), 1985, no.**8**, 36–42. (English transl. in*Vestnik Leningrad University: Mathematics*, 1985, v.**18**, n. 2, p. 43.) (with N.N. Uraltzeva).

Grants of Russian Basic Research Foundation (RBRF) 2001–2002, 2003–2004, 2005–2007, 2008–2011;

Grant of U.S. Civilian Research and Development Foundation (CRDF) 2004–2006.

European Science Foundation, Program "Free boundary problems", Sept.–Dec. 1995 (France); Dec. 1996 (Germany);

"Cultural Initiative" (the Soros Foundation), 1993–1994;

The DFG Research Group "Equations of Hydrodynamics" (Germany), Sept.–Nov. 1993;

International conferences "Mathematical Fluid Mechanics. Old Problems, New Trends", Bedlewo, Poland, Sept. 2015;

International Conference “Days on Diffraction'2015”, June 2015, St. Petersburg, Russia;

International Conference "Vorticity, rotation and symmetry (III) -approaching limiting cases of fluid flow", Marseille, France, 2014;

International Conference “Progress in Nonlinear Partial Differential Equations”, the University of Lisbon, Portugal, 2014.

International Conference on Mathematical Fluid Dynamics, Present and Future, November 11-14, 2014, Waseda University, Tokyo.

Workshop "Particles in Flows", Prague, Aug. 2014;

International conference “Math. Hydrodynamics and Parabolic Equations”, St. Petersburg, Sept. 2013 (member of the organizing committee);

International conference “Nonlinear PDEs in Continuum Mechanics”, Lisbon, Portugal, June 2013;

RIMS Symposium on Mathematical Analysis of Incompressible Flow, Kyoto, Japan, February 2013;

International conference “Parabolic and Navier–Stokes Equations”, Poland, Bedlewo, Sept. 2012;

12 International Conference "Free Boundary Problems: Theory and Applications", Frauenchimsee, Germany, 11–15 June 2012;

Russian-French workshop "Mathematical Hydrodynamics" (Irkutsk, Baical, Russia, 2011);

International conferences "Parabolic and Navier–Stokes Equations", Bedlewo, Poland, Sept. 2008, 2010;

International conference, “Fluid-interaction problems and related topics”, Prague, Czech Republic, 2007;

3d International conference, “Two-Phase System for Ground and Space Applications”, Brussels, Belgium, 2008;

International I. G. Petrovskii conference "Differential equations and related topics", Moscow, May, 2007;

17th Crimean Autumn Mathematical School-Symposium, Batiliman, Ukraina, Sept. 17–29, 2006;

International Conference "Parabolic and Navier–Stokes Equations", Bedlewo, Poland, Sept. 10–17, 2006;

International Conference "Geometrical Aspects of Free Boundary Problems", St. Petersburg, Russia, August 2006;

All-Russian Conference "Free Boundary Problems: Theory, Experiment and Applications", Biisk, Russia, (July, 4–8, 2005);

10th International Conference "Free Boundary Problems: Theory and Applications", Coimbra, Portugal, (June, 7–12, 2005);

International seminar "Days on Diffraction'2004", July 2004, St. Petersburg, Russia;

International Workshop "Directions on Partial Differential Equations" Novem. 2003, Ferrara, Italy;

International Conference "Trends in Partial Differential Equations of Math. Physics", June 2003, Obidos, Portugal;

9th International Conference "Free Boundary Problems: Theory and Applications", June 2002, Trento, Italy;

International Conference "Navier–Stokes Equations and Related Topics", Sept. 2002, St. Petersburg, Russia;

3d European Congress on Mathematics, Barcelona (Spain), July 2000;

Congress on Free Boundary Problems, Chiba (Japan), November 1999;

Workshop "Free Boundaries in Viscous Flows", St. Petersburg (Russia), Sept. 1996 (member of Organizing committee).

ICIAM, Gamburg (Germany), July 1995;

Congress on Free Boundary Problems, Zakopane (Poland), June 1995;

2d and 3d International Conference on the Navier–Stokes Equations (Ferrara, Italy, 1993 and Madeira, Portugal, May 1994);

1st and 3d Winter Schools on Mathematical Theory in Fluid Dynamics (Prague, Czech. Republ. 1991, 1993);

7th, 8th, 9th Conferences "Nonlinear Problems of Mathematical Physics" (Ukraine, 1989, 1991, 1993);

14th National School on Numerical Methods in Varna (Bulgary, 1988).

Telephone: (812) 321-47-66

Email:
denisovairinavlad@gmail.com

Updated: 24/12/2015